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Mathematics
Standard deviation and variance
Can a sample have a standard deviation of zero?

Mathematics
Standard deviation and variance
Find the Standard Deviation of the following data: $5,9,8,12,6,10,6,8$
A. $2.14$
B. $2.16$
C. $2.15$
D. $2.17$

Mathematics
Standard deviation and variance
How do I calculate the variance and standard deviation of $102,104,106,108,110$?
Mathematics
Standard deviation and variance
If the variable takes the values $0,1,2,3.........,n$ with frequencies proportional to the binomial coefficients $C\left( {n,0} \right)\,,\,C\left( {n,1} \right)\,,\,C\left( {n,2} \right)\,,........,C\left( {n,n} \right)$ respectively, then the variance of the distribution is
A. $n$
B. $\dfrac{{\sqrt n }}{2}$
C. $\dfrac{n}{2}$
D. $\dfrac{n}{4}$
Mathematics
Standard deviation and variance
If you add two independent random variables, what is the standard deviation of the combined distribution, if the standard deviations of the two original distributions were, for example $7$ and $5$?
Mathematics
Standard deviation and variance
If the variance of \[1,2,3,4,5,....,10\] is \[\dfrac{99}{12}\] , then the standard deviation of \[3,6,9,12,....,30\] is
1 \[\dfrac{297}{4}\]
2 \[\left( \dfrac{3}{2} \right)\sqrt{33}\]
3 \[\left( \dfrac{3}{2} \right)\sqrt{99}\]
4 \[\dfrac{\sqrt{99}}{12}\]
5 \[\dfrac{3\sqrt{3}}{2}\]

Mathematics
Standard deviation and variance
What is the meaning of the term deviation?

Mathematics
Standard deviation and variance
Suppose a population A has \[100\] observations \[101\] , \[102\] ,………., \[200\] and another population B has \[100\] observations \[151\] , \[152\] , \[153\] ,…………., \[250\] . If \[{V_A}\] and \[{V_B}\] represent the variances of the two populations respectively, then \[\dfrac{{{V_A}}}{{{V_B}}}\] is
\[\left( A \right){\text{ }}1\]
\[\left( B \right){\text{ }}\dfrac{9}{4}\]
\[\left( C \right){\text{ }}\dfrac{4}{9}\]
\[\left( D \right){\text{ }}\dfrac{2}{3}\]
Mathematics
Standard deviation and variance
The standard deviation of the numbers \[31,32,33,...,46,47\] is
1) \[\sqrt{\dfrac{17}{12}}\]
2) \[\sqrt{\dfrac{({{47}^{2}}-1)}{12}}\]
3) \[2\sqrt{6}\]
4) \[4\sqrt{3}\]

Mathematics
Standard deviation and variance
Variance of the first $11$ natural numbers is:
A. $\sqrt{5}$
B. $\sqrt{10}$
C. $5\sqrt{2}$
D. $10$
Mathematics
Standard deviation and variance
Variance of first $20$ natural number is
A. $\dfrac{133}{4}$
B. $\dfrac{379}{12}$
C. $\dfrac{133}{2}$
D. $\dfrac{399}{4}$

Mathematics
Standard deviation and variance
A group of $50$ items has mean $70$ and standard deviation $8$. What will be the value of mean and standard deviation if each value is multiplied by $5$?

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